document.write( "Question 687541: Divide using long division: \"%28-2x%5E3%2Bx%5E2-2x%2B3%29%2F%28x%2B2%29\" \n" ); document.write( "
Algebra.Com's Answer #425213 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"%28-2x%5E3%2Bx%5E2-2x%2B3%29%2F%28x%2B2%29\"
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document.write( " Write this:\r\n" );
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document.write( "                           \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "\r\n" );
document.write( "      \r\n" );
document.write( "-2x³ divided by x give -2x².  Write that above the + x²\r\n" );
document.write( "\r\n" );
document.write( "            -2x²           \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      \r\n" );
document.write( "     \r\n" );
document.write( "-2x² times +2 gives -4x².  Write that under the + x²\r\n" );
document.write( "\r\n" );
document.write( "            -2x²           \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "           - 4x²\r\n" );
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document.write( "-2x² times x gives -2x³.  Write that under the -2x³:\r\n" );
document.write( "\r\n" );
document.write( "            -2x²           \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "            \r\n" );
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document.write( "Draw a line:\r\n" );
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document.write( "            -2x²           \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             \r\n" );
document.write( "     \r\n" );
document.write( "Subtract -2x³ - (-2x³), that gives 0 so we don't write anything\r\n" );
document.write( "under that.  then x² minus -x² is really x²+4x² or 5x²\r\n" );
document.write( "\r\n" );
document.write( "            -2x²           \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x²  \r\n" );
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document.write( "Bring down the - 2x\r\n" );
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document.write( "            -2x²           \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             \r\n" );
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document.write( "5x² divided by x gives + 5x.  Write that at the top after -2x²\r\n" );
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document.write( "            -2x² +  5x     \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "           \r\n" );
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document.write( "5x times + 2 gives + 10x.  Write that under the - 2x\r\n" );
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document.write( "            -2x² +  5x     \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "                 + 10x\r\n" );
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document.write( "5x times x gives 5x².  Write that under the 5x²\r\n" );
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document.write( "            -2x² +  5x - 12\r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                   \r\n" );
document.write( "\r\n" );
document.write( "Draw a line:\r\n" );
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document.write( "            -2x² +  5x - 12\r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                  \r\n" );
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document.write( "Subtract 5x² - 5x², that gives 0 so we don't write anything\r\n" );
document.write( "under that.  then -2x minus +10x is really -2x-10x or -12x\r\n" );
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document.write( "            -2x² +  5x     \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                  -12x  \r\n" );
document.write( "\r\n" );
document.write( "Bring down the + 3\r\n" );
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document.write( "            -2x² +  5x     \r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                  -12x +  3\r\n" );
document.write( "                  \r\n" );
document.write( "\r\n" );
document.write( "-12x divided by x give -12.   Write that on the right at the top.\r\n" );
document.write( "\r\n" );
document.write( "            -2x² +  5x - 12\r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                  -12x +  3\r\n" );
document.write( "                   \r\n" );
document.write( "-12 times +2 gives -24.  Write that under the +3\r\n" );
document.write( "\r\n" );
document.write( "            -2x² +  5x - 12\r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                  -12x +  3\r\n" );
document.write( "                       - 24\r\n" );
document.write( "                          \r\n" );
document.write( "-12 times x gives -12x\r\n" );
document.write( "\r\n" );
document.write( "            -2x² +  5x - 12\r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                  -12x +  3\r\n" );
document.write( "                  -12x - 24\r\n" );
document.write( "\r\n" );
document.write( "Draw a line:\r\n" );
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document.write( "            -2x² +  5x - 12\r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                  -12x +  3\r\n" );
document.write( "                  -12x - 24\r\n" );
document.write( "                          \r\n" );
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document.write( "Subtract -12x - (-12x), that gives 0 so we don't write anything\r\n" );
document.write( "under that.  then +3 minus -24 is really +3+24 or 27, so\r\n" );
document.write( "the remainder is 27:\r\n" );
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document.write( "            -2x² +  5x - 12\r\n" );
document.write( "x + 2)-2x³ +  x² -  2x +  3\r\n" );
document.write( "      -2x³ - 4x²\r\n" );
document.write( "             5x² -  2x\r\n" );
document.write( "             5x² + 10x\r\n" );
document.write( "                  -12x +  3\r\n" );
document.write( "                  -12x - 24\r\n" );
document.write( "                         27 \r\n" );
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document.write( "That's it. To write the answer we use \"QUOTIENT%2BREMAINDER%2FDIVISOR\"\r\n" );
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document.write( "-2x² + 5x - 12 + \"27%2F%28x%2B2%29\"\r\n" );
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document.write( "Edwin

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